Flipping a coin $n$ times with probability $p$, what is the associated Fisher Information?

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Suppose we have a coin with probability of being heads at $p$. Then, we flip the coin $n$ times and record the outcome. I am wondering what the Fisher information would be for this experiment. I know the formula, but would this be modeled as a Bernoulli distribution at which point the information would be $\frac{n}{p(1-p)}$? Or would it be a Binomial?